The system is not getting logged off. its showing logging off for a long time and still not shuttin down

macOS Sierra uses Unified Logging, with the log(1) utility, you can view, filter, manipulate etc. logs.
Stream the log:
log stream --style syslog --predicate 'senderImagePath contains[cd] "TimeMachine"' --info
Don't stream
log show --style syslog --predicate 'senderImagePath contains[cd] "TimeMachine"' --info

you can see man log for other examples

You will need to remove all power. This includes the battery. Then when you start up your system will report it shut down incorrectly. Select to start normally and as soon as the system has settled down properly shut it down again.
This fault is caused by a memory error when unloading on of the systems drivers. The above process will reset the driver(s) so that they load correctly next time you switch on...BUT YOU MUST REMOVE ALL POWER FIRST for it to shut down as it is stuck in that unloading loop.

PRESS PROGRAM 99 ,THEN CHOOSE A BUTTON FOR CALL
LOG, PRESS IT , THEN ENTER *54, STORE

During the boot process tap the f8 button three times this will boot into safe mode where the only things working will be your mouse and keyboard enabling you to attempt to repair your computer Advanced Boot Options screen appears.

Select the Safe Mode option using the up and down arrow keys, then press the ENTER key. Choose "Windows XP Home/Professional", depending on the version of the operating system.

Press ENTER. Shortly, the welcome screen should show.
Log in as "Administrator". Click Yes to not use System Restore Mode.


Click the Start button. Choose Run and type in "control user passwords" (without the quotes). Click OK.


Select the "Administrator" user. Click Change my password. Enter a new password in the corresponding text boxes. Click OK. Write this password down and store it in a secure place Close the User Accounts window and restart Windows.
hope this helps you

Hi there...
If you use Microsoft Windows based computer, logging off is very easy..
1. Go to Start menu (Its a button saying ' Start ' on it. And it locates Most commonly at lower left of screen) and click it.
On Clicking, it will pop open showing contents of start menu
You may have start menu look like one of these.. (Assuming that you uses Windows OS)


2. Follow either A / B / C option corresponding to your start menu appearance. If Your Start Menu Looks like Option_A, then follow its instructions. So do others

Option _ A
Click On button ' Log Off '


Then Choose " Log Off " button to Log off from system

Option _ B
Click On Small arrow next to Lock Symbol . It will show a menu containing many options including " Log Off".


Then Choose "Log Off" to Log off from system

Option _ C
Click on "Shut Down ...". This will open new window showing many options. On Drop menu (Looks like a text area and it will have a down pointed arrow or triangle) choose "Log Off".

Click on Ok Button will Log you off the system

A FEW THING TO DO DEFRAG THE DRIVE MORE THAN YOU ARE DOING NOW, IF YOU DO ONCE A MONTH YOU MAY MAY WANT TO DO IT 1 TIME WEEK.

IN YOUR COMPUTER IS A SECTION IS FOR PERFORMACNE ENHANCEMENTS, OR IMPROVING SYSTEM CHECK AND OPERATIONAL ERRORS AND LOGS, THESE LOGS ARE GETTING LARGE AND STORING UP INFORMATION AND SLOWING DOWN THE SYSTEM AND PERFORMANCE.

GO INTO CONTROL PANEL LOOK FOR PERFORMANCE FOLDER
VIEW PERFORMANCE DETAILS IN EVENT LOG
OPEN FOLDER THE FOLDER SHOULD SAY
EVENT VIEWERS
GO TO FILE AND OPEN IT
OPEN OPTIONS
DISK CLEAN UP
DELETE FILES YES
OKAY

OPEN ACTION
CLEAR LOGS
YES CLEAR LOGS OR SAVE LOGS
YES OR OKAY
REBOOT SYSTEM

MAKE SURE YOU DEFRAG THE DRIVE AFTER CLEARING ALL LOG ENTERS BECAUSE ITS GOING TO CHANGE THE PERFORMANCE OF THE SYSTEM

ROD

this link will show you how,http://support.microsoft.com/kb/325898

you need to do a lbp fuser reset and lbp error log clear
-----------------------------------------------------------------
fuser reset

function- 7- monitor button 4 times slowly- then press * "start" button, should say service mode, then press 7- start- down arrow - start- then yes

log clear

function- 7- monitor button 4 times slowly- then press * "start" button, should say service mode, the press 6 - use the down arrow to get to lbp log clear.

if this does no work you need the fuser replaced

good luck

Look at the log on your 4100. Select "keep log on restart".
Look for log outs and about 4 steps down Log ins (mine were about 20 seconds apart).
See if your modem reset (watch your lights) coincides with taking your phone off hook. Take phone off hook for about 20 seconds until you loose dial tone (mine would reset at this point about 50% of the time and show several log off-on in the log.
My phone company tech (SBC/AT&T) said that there engineering department had them install some line equipment at drop site that caused this problem. If you can do something to force the reset, then you'll get some action by your telco. Otherwise the testing they do will not show a problem.
If this does not work, contact your state PUC. Your phone company will be more cooperative when they are contacted by the PUC.